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Finding the Fourth Proportional to 54,683.98, 82,032.81 and 21,399.74

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Solution

The fourth proportional to 54,683.98, 82,032.81 and 21,399.74 is: 32,102.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,683.98 : 82,032.81 = 21,399.74 : x
  2. Step 2: Convert to fraction form
    54,683.98/82,032.81 = 21,399.74/x
  3. Step 3: Cross multiply
    54,683.98x = 82,032.81 × 21,399.74
  4. Step 4: Simplify right side
    54,683.98x = 1,755,480,805.47
  5. Step 5: Solve for x
    x = 1,755,480,805.47/54,683.98
  6. Step 6: Final answer
    x = 32,102.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.